Mathematics, 07.06.2021 23:50 perez120

With two straight cuts, we can divide a flat pancake into four pieces: [asy]
size(4cm);
draw(Circle((0,0),1));
draw(rotate(45)(1,0)--rotate(200) (1,0),dashed);
draw(rotate(150)(1,0)--rotate(330) (1,0),dashed);
[/asy]
What is the fewest number of straight cuts that will divide a flat pancake into $16$ pieces? (The pieces do not need to be the same shape or size.)

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With two straight cuts, we can divide a flat pancake into four pieces: [asy]
size(4cm);
...